The generator matrix 1 1 1 1 1 1 1 0 2 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 4 0 4 0 0 0 0 0 12 4 0 0 0 0 0 0 8 0 generates a code of length 7 over Z16 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+69x^2+164x^3+619x^4+1392x^5+2895x^6+22488x^7+2895x^8+1392x^9+619x^10+164x^11+69x^12+1x^14 The gray image is a code over GF(2) with n=56, k=15 and d=8. This code was found by Heurico 1.16 in 0.131 seconds.